Deformed Two-Photon Squeezed States in Noncommutative Space
arXiv:hep-th/0407183 · doi:10.1016/j.physletb.2004.07.039
Abstract
Recent studies on non-perturbation aspects of noncommutative quantum mechanics explored a new type of boson commutation relations at the deformed level, described by deformed annihilation-creation operators in noncommutative space. This correlated boson commutator correlates different degrees of freedom, and shows an essential influence on dynamics. This paper devotes to the development of formalism of deformed two-photon squeezed states in noncommutative space. General representations of deformed annihilation-creation operators and the consistency condition for the electromagnetic wave with a single mode of frequency in NC space are obtained. Two-photon squeezed states are studied. One finds that variances of the dimensionless hermitian quadratures of the annihilation operator in one degree of freedom include variances in the other degree of freedom. Such correlations show the new feature of spatial noncommutativity and allow a deeper understanding of the correlated boson commutator.
11 pages. Physics Letters B (accepted)
Cited by in corpus (9)
- Coherent States of the Deformed Heisenberg-Weyl Algebra in Noncommutative Space
- Deformed squeezed states in noncommutative phase space
- Un-equivalency Theorem between Deformed and undeformed Heisenberg-Weyl's Algebras
- Test of Quantum Effects of Spatial Noncommutativity using Modified Electron Momentum Spectroscopy
- Searching for Effects of Spatial Noncommutativity via Chern-Simons' Processes
- Structure of Noncommutative Fock space
- Deformed Two-Mode Quadrature Operators in Noncommutative Space
- Deformed "Commutative" Chern - Simons System
- Testing Spatial Noncommutativity via Magnetic Hyperfine Structure Induced by Fractional Angular Momentum of Rydberg System